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Theoretical aspects of exotic hadrons

Theoretical aspects of exotic hadrons. Su Houng Lee 1. Few words on hadronic molecule candidates 2. Few words on diquarks and heavy Multiquark States 3. Summary of disucssions. Recent Highlights in Hadron Physics – Heavy quark sector. Babar: D SJ (2317) 0+

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Theoretical aspects of exotic hadrons

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  1. Theoretical aspects of exotic hadrons Su Houng Lee 1. Few words on hadronic molecule candidates 2. Few words on diquarks and heavy Multiquark States 3. Summary of disucssions

  2. Recent Highlights in Hadron Physics – Heavy quark sector Babar: DSJ(2317) 0+ Puzzle in Constituent Quark Model(2400) • D0 K+ (2358) threshold effect • Chiral partner of (0- 1-) • Tetraquark molecule ? X(3872) , Y(4260), Z(4430)  y’p Z(4051),Z(4248) cc1p Must contain cc ?

  3. Previous Work on Multiquark hadrons - Light quark sector Scalar tetraquark (Jaffe 76) L(1405) (Jido, Sekihara..) N S K p + Search for Q+ pentaquark Search for H dibaryon

  4. New perspectives on hadron physics from RHIC • large number of c , b quark production • Vertex detector: weakly decaying exotics • Larger source size: A. Ohnishi ..

  5. Some insights from for Multiquark configurations in a schematic quark model

  6. Color spin interaction • color spin interaction: • Diquark configurations vs. quark-antiquark configurations q2 q4 q1 q2 Takeuchi

  7. Diquark inside Baryons Example u d d u s s

  8. Works very well with 3x CB = CM =635 mu2 d u u d x 3= quark antiquark in Meson p r d u d u

  9. Q+ in a naïve quark model L=1 Q+ P K u d u d  s u d d 1/2+ u s L2 contribution • - 500 MeV in Full quark model by Hiyama, Hosaka et al Q+ 1540 can not be a pentaquark state, if it exists ?

  10. can L(1405) be a 5 quark state L S p u d s d  u u d d 1/2+ s d L 1405 can not be a pentaquark state, ?

  11. 2SC Phase CFL Phase of color superconductivity ? Di-bayron (Conf 1) – (qq) (qq) (qq) H di-baryon u d u d u d u s  0+ s s d s H di-baryon could be bound • unfortunately not found in so far

  12. Stable Multiquark configurations in a schematic diquark model

  13. Multiquark configuration: Yasui, Ko, Lee (EJP08,EJP09) • Diquark attracation vs quark-antiquark q1 q3 q2 • diquark picture: Yasui, Ko, Liu, Lee,.. (EJP08,EJP09)

  14. Diquark picture for L, S (with D. Jido , K. Kim) • Magnetic moment: L = (ud)0 s , S =(us)0d+(ds)0u d u s • QCD sum rule with diquark field

  15. Result:

  16. Result- cont • Constituent diquark mass

  17. Tetra-quark - configurations Binding against decay = (Mass of 2 Mesons) – (Mass of Tetraquark) 0+  0- 0- d u d d u u u d 0+  0- 0- c u d c b u b d

  18. Tetra-quark – hadronic weak decay modes  0- 1- 1+ c u d c c u c d

  19. c c Previous works on Tcc Z. Zouzou, B. Silverstre-Brac, C. Gilgnooux, J Richard (86), D. Janc, M. Rosina (04), Y. Cui, S. L. Zhu (07) QCD sum rules: F Navarra, M.Nielsen, SHLee, PLB 649, 166 (2007) simple diquark: SHL, S. Yasui, W.Liu, C Ko EPJ C54, 259 (2008), SHL, S. Yasui: EPJ C (09) Canlook for 1+ (Tcc) Belle: PRL 98, 082001 (07) e+ e-  J/y + X(3904)  D D* e Tcc (3800) c c e+ SHL, S Yasui, W Liu, C Ko (08)

  20. Pentaquarks (states with two diquarks ) D QQs L u d u s  Q u d u 1/2- s Q

  21. Di-bayron – general considerations di-baryon B B 1 2 3 4 Conf-1 1 2 3 4  0+ 5 6 5 6 B B 1 2 6 4 Conf-2 3 5

  22. 2SC like state CFL like state Di-bayron (Conf 1) – (qq) (qq) (qq) H di-baryon u d u d u d u s  0+ s s d s H di-baryon could be bound • unfortunately not found so far

  23. Di-baryon (Conf 2) – (qq) (qq) (qQ) Hc di-baryon P Xc 0+ s u d u  u d u s u c u c Hc di-baryon new prediction • could be found in heavy ion collision

  24. Production ratios for predicted Multiquarks • Qc production at RHIC and LHC Qc/D > 0.74 x 10 -4 Qc/Ds> 0.23 x 10 -3 • Hc production at RHIC and LHC Hc/D > 0.8 x 10 -4 Hc/Ds> 0.25 x 10 -3 • Tcc production Tcc/D > 0.34 x 10 -4 RHIC > 0.8 x 10 -4 LHC

  25. Summary of talk and discussions this week • Particle correlation from HIC could be a nice way to measure hadronic interation and /or bound state information • Diquarks are unique features of QCD, Mutltiquark states will exits in Heavy sector, due to diquark structure Tcc (ud cc) Qbs (udusb), Hc(udusuc)  real weak decay, small background in RHIC, LHC  can be a very useful heavy exotic factory  If found, it will be the first flavor exotic ever,  will tell us about QCD, q-q interaction and dense matter  great step forward in QCD • Diquarks can enhance and/or shift pt dependence of L/K, Lc/D production in HIC  can be a signature of remnant property of sQGP • New Idea ???  For hadron physics in Heavy Ion collision

  26. Tetraquark: Jaffe • color spin interaction: light scalar nonet q1 q3 q2 q4 • Diquark configurations • Scalar nonet |9,0+> • Diquark basis • Q-antiQ basis

  27. Multiquark configuration: Mulders, Aerts, de Swart PRD80 • color spin interaction: light scalar nonet u d u d u u d u s u u d u s u d u s u s

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